Low-energy elementary excitations of a trapped Bose-condensed gas

Patrik Ohberg; E. L. Surkov; I. Tittonen; Stig Stenholm; M. Wilkens; G. V. Shlyapnikov

doi:10.1103/PhysRevA.56.R3346

Low-energy elementary excitations of a trapped Bose-condensed gas

Patrik Ohberg, E. L. Surkov, I. Tittonen, Stig Stenholm, M. Wilkens, G. V. Shlyapnikov

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120 Citations (Scopus)

Abstract

We develop a method of finding analytical solutions of the Bogolyubov–de Gennes equations for the excitations of a Bose condensate in the Thomas-Fermi regime in harmonic traps of any asymmetry and introduce a classification of eigenstates. In the case of cylindrical symmetry we emphasize the presence of an accidental degeneracy in the excitation spectrum at certain values of the projection of orbital angular momentum on the symmetry axis and discuss possible consequences of the degeneracy in the context of new signatures of Bose-Einstein condensation.

Original language	English
Article number	R3346(R)
Journal	Physical Review A
Volume	56
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.56.R3346
Publication status	Published - 1 Nov 1997

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AU - Ohberg, Patrik

AU - Surkov, E. L.

AU - Tittonen, I.

AU - Stenholm, Stig

AU - Wilkens, M.

AU - Shlyapnikov, G. V.

PY - 1997/11/1

Y1 - 1997/11/1

N2 - We develop a method of finding analytical solutions of the Bogolyubov–de Gennes equations for the excitations of a Bose condensate in the Thomas-Fermi regime in harmonic traps of any asymmetry and introduce a classification of eigenstates. In the case of cylindrical symmetry we emphasize the presence of an accidental degeneracy in the excitation spectrum at certain values of the projection of orbital angular momentum on the symmetry axis and discuss possible consequences of the degeneracy in the context of new signatures of Bose-Einstein condensation.

AB - We develop a method of finding analytical solutions of the Bogolyubov–de Gennes equations for the excitations of a Bose condensate in the Thomas-Fermi regime in harmonic traps of any asymmetry and introduce a classification of eigenstates. In the case of cylindrical symmetry we emphasize the presence of an accidental degeneracy in the excitation spectrum at certain values of the projection of orbital angular momentum on the symmetry axis and discuss possible consequences of the degeneracy in the context of new signatures of Bose-Einstein condensation.

U2 - 10.1103/PhysRevA.56.R3346

DO - 10.1103/PhysRevA.56.R3346

M3 - Article

SN - 2469-9926

VL - 56

JO - Physical Review A

JF - Physical Review A

IS - 5

M1 - R3346(R)

ER -

Low-energy elementary excitations of a trapped Bose-condensed gas

Abstract

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